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Finding the Third Proportional to 15,714 and 24,522.75

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Solution

The third proportional to 15,714 and 24,522.75 is: 38,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714 : 24,522.75 = 24,522.75 : x
  2. Step 2: Convert to fraction form
    15,714/24,522.75 = 24,522.75/x
  3. Step 3: Cross multiply
    15,714x = 24,522.75 × 24,522.75
  4. Step 4: Simplify right side
    15,714x = 601,365,267.56
  5. Step 5: Solve for x
    x = 601,365,267.56/15,714
  6. Step 6: Final answer
    x = 38,269.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.